Airy_limits.ipynb

{
 "metadata": {
  "name": "SYM_Airy_limits"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "%load_ext sympyprt",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "from sympy import *",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "x = Symbol(\"x\")",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMBAMAAABCcoqQAAAAJFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAVJlmiUTNuxAydkvU/DYAAABBSURBVAgd\nY2AQMhFgYGBNYChlYGAzYDBjYOgWYIhuYJgdwDB7AkP0BBADQkIYQFnpBgb2BSCVQF2pDAwMIlYC\nDADyLg3mxPBcdQAAAABJRU5ErkJggg==\n",
       "prompt_number": 4,
       "text": "0"
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 5,
       "text": "\u221e"
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyaiprime(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMBAMAAABCcoqQAAAAJFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAVJlmiUTNuxAydkvU/DYAAABBSURBVAgd\nY2AQMhFgYGBNYChlYGAzYDBjYOgWYIhuYJgdwDB7AkP0BBADQkIYQFnpBgb2BSCVQF2pDAwMIlYC\nDADyLg3mxPBcdQAAAABJRU5ErkJggg==\n",
       "prompt_number": 6,
       "text": "0"
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybiprime(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 7,
       "text": "\u221e"
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)*airyai(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMBAMAAABCcoqQAAAAJFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAVJlmiUTNuxAydkvU/DYAAABBSURBVAgd\nY2AQMhFgYGBNYChlYGAzYDBjYOgWYIhuYJgdwDB7AkP0BBADQkIYQFnpBgb2BSCVQF2pDAwMIlYC\nDADyLg3mxPBcdQAAAABJRU5ErkJggg==\n",
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       "text": "0"
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)*airybi(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMBAMAAABCcoqQAAAAJFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAVJlmiUTNuxAydkvU/DYAAABBSURBVAgd\nY2AQMhFgYGBNYChlYGAzYDBjYOgWYIhuYJgdwDB7AkP0BBADQkIYQFnpBgb2BSCVQF2pDAwMIlYC\nDADyLg3mxPBcdQAAAABJRU5ErkJggg==\n",
       "prompt_number": 9,
       "text": "0"
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x**2), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMBAMAAABCcoqQAAAAJFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAVJlmiUTNuxAydkvU/DYAAABBSURBVAgd\nY2AQMhFgYGBNYChlYGAzYDBjYOgWYIhuYJgdwDB7AkP0BBADQkIYQFnpBgb2BSCVQF2pDAwMIlYC\nDADyLg3mxPBcdQAAAABJRU5ErkJggg==\n",
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     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)*exp(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMBAMAAABCcoqQAAAAJFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAVJlmiUTNuxAydkvU/DYAAABBSURBVAgd\nY2AQMhFgYGBNYChlYGAzYDBjYOgWYIhuYJgdwDB7AkP0BBADQkIYQFnpBgb2BSCVQF2pDAwMIlYC\nDADyLg3mxPBcdQAAAABJRU5ErkJggg==\n",
       "prompt_number": 11,
       "text": "0"
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)*exp(exp(x)), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 12,
       "text": "\u221e"
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)*exp(exp(x)), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 13,
       "text": "\u221e"
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)*exp(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 14,
       "text": "\u221e"
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)*exp(x**2), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 15,
       "text": "\u221e"
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)*exp(-x**2), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMBAMAAABCcoqQAAAAJFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAVJlmiUTNuxAydkvU/DYAAABBSURBVAgd\nY2AQMhFgYGBNYChlYGAzYDBjYOgWYIhuYJgdwDB7AkP0BBADQkIYQFnpBgb2BSCVQF2pDAwMIlYC\nDADyLg3mxPBcdQAAAABJRU5ErkJggg==\n",
       "prompt_number": 16,
       "text": "0"
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)**airyai(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAcAAAANBAMAAACX52mGAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAEKtEMol2VCK73Zk3WuVAAAAAHUlE\nQVQIHWNgEDJgYHDNKWBgYOAhgWidsxqoDwgA7OQHvHltKPsAAAAASUVORK5CYII=\n",
       "prompt_number": 17,
       "text": "1"
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)**airybi(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 18,
       "text": "\u221e"
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)**airyai(x)-x**x, x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAB4AAAAJBAMAAADXzYGyAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIrt2Ms3vZlSrmYlE\n3RA4+KL3AAAAX0lEQVQIHWNggACWsHAGhs7VB6BcBm+GNgUuA4YWGN+AgeWnMQMDM4OQEhAoMxQw\nMNQHMDCww+SBfNY/qPxuNQGgeig4w8AzgfcKgw2Mz7F7MgPD/qsNMD4DH4j1gAEApl0RRCsbNrYA\nAAAASUVORK5CYII=\n",
       "prompt_number": 19,
       "text": "-\u221e"
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)**airyai(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAcAAAANBAMAAACX52mGAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAEKtEMol2VCK73Zk3WuVAAAAAHUlE\nQVQIHWNgEDJgYHDNKWBgYOAhgWidsxqoDwgA7OQHvHltKPsAAAAASUVORK5CYII=\n",
       "prompt_number": 20,
       "text": "1"
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)**airybi(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMBAMAAABCcoqQAAAAJFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAVJlmiUTNuxAydkvU/DYAAABBSURBVAgd\nY2AQMhFgYGBNYChlYGAzYDBjYOgWYIhuYJgdwDB7AkP0BBADQkIYQFnpBgb2BSCVQF2pDAwMIlYC\nDADyLg3mxPBcdQAAAABJRU5ErkJggg==\n",
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       "text": "0"
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)**airybi(x)-x, x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 22,
       "text": "\u221e"
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)**airybi(x)-exp(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 23,
       "text": "\u221e"
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     ],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)**airybi(x)-x**x, x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 24,
       "text": "\u221e"
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)**airybi(x)-x**(x**2), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 25,
       "text": "\u221e"
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     ],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)**airybi(x)-x**(x**x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 26,
       "text": "\u221e"
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)**airybi(x)-(x**x)**x, x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 27,
       "text": "\u221e"
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)-x, x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 28,
       "text": "\u221e"
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)-x**2, x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 29,
       "text": "\u221e"
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)-exp(x), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 30,
       "text": "\u221e"
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)-x**x, x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAABAAAAAJBAMAAADJBLEBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMs3vZlSrmYlEu3Yi\n3RDhmdryAAAAUElEQVQIHWNgVFZhYAirmMAgwRC8gH0DQyDDBgbGb7sZGLgZHBgY/BUYGFhADKaf\nUEbE4gNAqZkMnAm8Fxl2MrB2ZDMw9F8KYGDgYwCCBwwAiVYQT/7Hx8MAAAAASUVORK5CYII=\n",
       "prompt_number": 31,
       "text": "\u221e"
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airyai(x)-exp(x**(S(3)/2)), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAB4AAAAJBAMAAADXzYGyAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIrt2Ms3vZlSrmYlE\n3RA4+KL3AAAAX0lEQVQIHWNggACWsHAGhs7VB6BcBm+GNgUuA4YWGN+AgeWnMQMDM4OQEhAoMxQw\nMNQHMDCww+SBfNY/qPxuNQGgeig4w8AzgfcKgw2Mz7F7MgPD/qsNMD4DH4j1gAEApl0RRCsbNrYA\nAAAASUVORK5CYII=\n",
       "prompt_number": 32,
       "text": "-\u221e"
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "gruntz(airybi(x)-exp(x**(S(3)/2)), x, oo)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAB4AAAAJBAMAAADXzYGyAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIrt2Ms3vZlSrmYlE\n3RA4+KL3AAAAX0lEQVQIHWNggACWsHAGhs7VB6BcBm+GNgUuA4YWGN+AgeWnMQMDM4OQEhAoMxQw\nMNQHMDCww+SBfNY/qPxuNQGgeig4w8AzgfcKgw2Mz7F7MgPD/qsNMD4DH4j1gAEApl0RRCsbNrYA\nAAAASUVORK5CYII=\n",
       "prompt_number": 33,
       "text": "-\u221e"
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 33
    }
   ],
   "metadata": {}
  }
 ]
}